13767920 has 40 divisors (see below), whose sum is σ = 32314896. Its totient is φ = 5454848.

The previous prime is 13767917. The next prime is 13767947. The reversal of 13767920 is 2976731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13767920² = 379111242252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8279 + ... + 9801.

Almost surely, 2^13767920 is an apocalyptic number.

13767920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13767920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157448).

13767920 is an abundant number, since it is smaller than the sum of its proper divisors (18546976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13767920 is a wasteful number, since it uses less digits than its factorization.

13767920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 13767920 is about 3710.5147890825. The cubic root of 13767920 is about 239.6750231200.

The spelling of 13767920 in words is "thirteen million, seven hundred sixty-seven thousand, nine hundred twenty".